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Finding the Third Proportional to 57,650 and 125,956

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Solution

The third proportional to 57,650 and 125,956 is: 275,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,650 : 125,956 = 125,956 : x
  2. Step 2: Convert to fraction form
    57,650/125,956 = 125,956/x
  3. Step 3: Cross multiply
    57,650x = 125,956 × 125,956
  4. Step 4: Simplify right side
    57,650x = 15,864,913,936
  5. Step 5: Solve for x
    x = 15,864,913,936/57,650
  6. Step 6: Final answer
    x = 275,193.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.